Mathematical tools for Economics and Finance with Mathematica softwareUniversitas Studiorum, 22 giu 2015 - 346 pagine Mathematica is a scientific software dedicated to symbolic and numerical calculus, developed by a team directed by Stephen Wolfram. The potential applications are extremely wide and may comprise, for example, pure and applied Mathematics, Statistics, Economics, Finance and Engineering. The first version 1.0 was published on 1988 while the current version 10.0 was released on 2014. Mathematica also permits to develop sophisticated program code thanks to its own syntax and besides, it can be used as a highly accurate text Editor. This book is a complete and up-to-date guide to Mathematica Software.Contents: Introduction, Linear Algebra, Functions of a real variable, Functions of several variables, Implicit funcions theorem, Unconstrained optimization, Constrained optimization, Ordinary differential equations and systems, Dynamic optmization, Stochastic calculus, Financial Applications, etc. |
Sommario
Introduction | 7 |
Linear algebra | 19 |
Exercises | 26 |
3 | 37 |
1 | 43 |
Implicit functions theorem | 57 |
Unconstrained optimization | 67 |
Constrained optimization equality bounds | 77 |
Ordinary differential equations and systems | 103 |
8 | 128 |
Equilibrium points and stability | 157 |
Dynamic optimization II optimal control | 223 |
Dynamic optimization III Bellmans optimality principle | 253 |
Financial Applications | 271 |
| 345 | |
Constrained optimization inequality bounds | 91 |

